01132nam 2200361 450 991040414750332120220917201928.01-78735-364-8(CKB)4100000011204448(NjHacI)994100000011204448(EXLCZ)99410000001120444820220917d2020 uy 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierAssessment and feedback in higher education a guide for teachers /Teresa McConlogueLondon :UCL Press,[2020]©20201 online resource (xii, 167 pages) illustrations1-78735-365-6 Includes bibliographical references and index.EducationStudy and teaching (higher)EducationStudy and teaching (higher)378.007McConlogue Teresa954058NjHacINjHaclBOOK9910404147503321Assessment and feedback in higher education2157581UNINA03785nam 2200601 450 99646637670331620220908070557.03-540-48111-710.1007/BFb0073527(CKB)1000000000437162(SSID)ssj0000324435(PQKBManifestationID)12098550(PQKBTitleCode)TC0000324435(PQKBWorkID)10314194(PQKB)11233626(DE-He213)978-3-540-48111-9(MiAaPQ)EBC5592338(Au-PeEL)EBL5592338(OCoLC)1066184823(MiAaPQ)EBC6842128(Au-PeEL)EBL6842128(PPN)155221159(EXLCZ)99100000000043716220220908d1993 uy 0engurnn|008mamaatxtccrLimit theorems for unions of random closed sets /Ilya S. Molchanov1st ed. 1993.Berlin :Springer-Verlag,[1993]©19931 online resource (X, 158 p.) Lecture notes in mathematics (Springer-Verlag) ;1561Bibliographic Level Mode of Issuance: Monograph3-540-57393-3 Distributions of random closed sets -- Survey on stability of random sets and limit theorems for Minkowski addition -- Infinite divisibility and stability of random sets with respect to unions -- Limit theorems for normalized unions of random closed sets -- Almost sure convergence of unions of random closed sets -- Multivalued regularly varying functions and their applications to limit theorems for unions of random sets -- Probability metrics in the space of random sets distributions -- Applications of limit theorems.The book concerns limit theorems and laws of large numbers for scaled unionsof independent identically distributed random sets. These results generalizewell-known facts from the theory of extreme values. Limiting distributions (called union-stable) are characterized and found explicitly for many examples of random closed sets. The speed of convergence in the limit theorems for unions is estimated by means of the probability metrics method.It includes the evaluation of distances between distributions of random sets constructed similarly to the well-known distances between distributions of random variables. The techniques include regularly varying functions, topological properties of the space of closed sets, Choquet capacities, convex analysis and multivalued functions. Moreover, the concept of regular variation is elaborated for multivalued (set-valued) functions. Applications of the limit theorems to simulation of random sets, statistical tests, polygonal approximations of compacts, limit theorems for pointwise maxima of random functions are considered. Several open problems are mentioned. Addressed primarily to researchers in the theory of random sets, stochastic geometry and extreme value theory, the book will also be of interest to applied mathematicians working on applications of extremal processes and their spatial counterparts. The book is self-contained, and no familiarity with the theory of random sets is assumed.Lecture notes in mathematics (Springer-Verlag) ;1561.Geometric probabilitiesLimit theorems (Probability theory)Geometric probabilities.Limit theorems (Probability theory)519.2Molchanov Ilya S.1962-1255119MiAaPQMiAaPQMiAaPQBOOK996466376703316Limit theorems for unions of random closed sets2910205UNISA